Results 11 to 20 of about 431,042 (280)
Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach [PDF]
Applied Mathematics-A Journal of Chinese Universities, 2021 AbstractIn this paper, a new technique is introduced to obtain non-uniform Berry-Esseen bounds for normal and nonnormal approximations by unbounded exchangeable pairs. This technique does not rely on the concentration inequalities developed by Chen and Shao [4,5] and can be applied to the quadratic forms and the general Curie-Weiss model.
Liu, Da-li +3 more
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Asymptotic Capacity Bounds for Wireless Networks with Non-Uniform Traffic Patterns [PDF]
IEEE Transactions on Wireless Communications, 2008 We develop bounds on the capacity of wireless multihop networks when the traffic pattern is non-uniform, i.e., not all nodes are the sources and sinks of similar volumes of traffic. Our results are asymptotic, i.e., they hold with probability going to unity as the number of nodes goes to infinity.
Stavros Toumpis
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Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I [PDF]
IEEE Transactions on Information Theory, 2019 We explore asymptotically optimal bounds for deviations of Bernoulli convolutions from the Poisson limit in terms of the Shannon relative entropy and the Pearson $χ^2$-distance. The results are based on proper non-uniform estimates for densities. They deal with models of non-homogeneous, non-degenerate Bernoulli distributions.
S. G. Bobkov, G. P. Chistyakov, F. Gotze
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Non-uniform Bounds and Edgeworth Expansions in Self-normalized Limit Theorems
Journal of Theoretical ProbabilityAbstract We study Edgeworth expansions in limit theorems for self-normalized sums. Non-uniform bounds for expansions in the central limit theorem are established while imposing only minimal moment conditions. Within this result, we address the case of non-integer moments leading to a reduced remainder.
Beckedorf, Pascal, Rohde, Angelika
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Non-uniform Error Bounds for Asymptotic Expansions of Scale Mixtures of Distributions
Journal of Multivariate Analysis, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y Fujikoshi
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JIGSAW-GEO (1.0): locally orthogonal staggered unstructured grid generation for general circulation modelling on the sphere [PDF]
Geoscientific Model Development, 2017 An algorithm for the generation of non-uniform, locally orthogonal staggered unstructured spheroidal grids is described. This technique is designed to generate very high-quality staggered Voronoi–Delaunay meshes appropriate for general circulation ...
D. Engwirda, D. Engwirda
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ENP Engineering Science Journal, 2021 The co-centered orthogonal loop and dipole (COLD) array exhibits some interesting properties, which makes it ubiquitous in the context of polarized source localization.
Tao Bao, Mohammed Nabil EL KORSO
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Non ultracontractive heat kernel bounds by Lyapunov conditions [PDF]
, 2013 Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like Markov semigroups, hence to uniform on-diagonal bounds on their kernel densities.
Bolley, François +2 more
core +3 more sources
HOSVD-Based Algorithm for Weighted Tensor Completion
Journal of Imaging, 2021 Matrix completion, the problem of completing missing entries in a data matrix with low-dimensional structure (such as rank), has seen many fruitful approaches and analyses.
Zehan Chao +2 more
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On Certifying Non-uniform Bound against Adversarial Attacks
CoRR, 2019 This work studies the robustness certification problem of neural network models, which aims to find certified adversary-free regions as large as possible around data points. In contrast to the existing approaches that seek regions bounded uniformly along all input features, we consider non-uniform bounds and use it to study the decision boundary of ...
Chen Liu 0027 +2 more
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